2516970764880 has 1920 divisors, whose sum is σ = 10923034214400. Its totient is φ = 527668162560.

The previous prime is 2516970764813. The next prime is 2516970764881. The reversal of 2516970764880 is 884670796152.

2516970764880 is a `hidden beast` number, since 2 + 5 + 16 + 9 + 70 + 76 + 488 + 0 = 666.

It is a super-2 number, since 2×2516970764880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516970764881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8198601687 + ... + 8198601993.

It is an arithmetic number, because the mean of its divisors is an integer number (5689080320).

Almost surely, 2^{2516970764880} is an apocalyptic number.

2516970764880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516970764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461517107200).

2516970764880 is an abundant number, since it is smaller than the sum of its proper divisors (8406063449520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2516970764880 is a wasteful number, since it uses less digits than its factorization.

2516970764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2516970764880 in words is "two trillion, five hundred sixteen billion, nine hundred seventy million, seven hundred sixty-four thousand, eight hundred eighty".